What Is The Value Of The Digit 3 In The Number 138,695,157?

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Introduction

When we look at a large number like 138,695,157, it's easy to get lost in the sea of digits. Each digit in a number has its own unique value, and understanding the value of each digit is crucial in various mathematical operations. In this article, we will explore the value of the digit 3 in the number 138,695,157.

Understanding the Place Value of Digits

To determine the value of the digit 3 in the number 138,695,157, we need to understand the concept of place value. Place value refers to the value of a digit in a number based on its position. In the number 138,695,157, each digit has a specific place value:

  • The digit 1 is in the hundred-thousands place.
  • The digit 3 is in the tens place.
  • The digit 8 is in the thousands place.
  • The digit 6 is in the hundreds place.
  • The digit 9 is in the tens place.
  • The digit 5 is in the ones place.
  • The digit 1 is in the tenths place.
  • The digit 7 is in the hundredths place.

The Value of the Digit 3

Now that we understand the place value of each digit, let's focus on the digit 3. The digit 3 is in the tens place, which means it represents 30. However, when we look at the number 138,695,157, we see that the digit 3 is actually 3, not 30. This is because the digit 3 is not in the tens place of the entire number, but rather in the tens place of a smaller group of digits.

Breaking Down the Number

To understand the value of the digit 3, let's break down the number 138,695,157 into smaller groups:

  • 138,695,157 = 138,000,000 + 695,000 + 157
  • 138,000,000 = 138,000,000
  • 695,000 = 600,000 + 90,000 + 5,000
  • 157 = 100 + 50 + 7

The Value of the Digit 3 in Each Group

Now that we have broken down the number 138,695,157 into smaller groups, let's focus on the digit 3 in each group:

  • In the group 138,000,000, the digit 3 is not present.
  • In the group 600,000, the digit 3 is not present.
  • In the group 90,000, the digit 3 is not present.
  • In the group 5,000, the digit 3 is not present.
  • In the group 100, the digit 3 is not present.
  • In the group 50, the digit 3 is not present.
  • In the group 7, the digit 3 is not present.

Conclusion

In conclusion, the digit 3 in the number 138,695,157 has a value of 3, but only in the context of the smaller groups of digits. When we look at the entire number, the digit 3 is not present in the tens place, but rather in the ones place of a smaller group of digits. Understanding the place value of each digit is crucial in various mathematical operations, and this article has demonstrated the importance of breaking down numbers into smaller groups to understand the value of each digit.

Frequently Asked Questions

  • Q: What is the value of the digit 3 in the number 138,695,157? A: The digit 3 in the number 138,695,157 has a value of 3, but only in the context of the smaller groups of digits.
  • Q: Why is the digit 3 not in the tens place of the entire number? A: The digit 3 is not in the tens place of the entire number because it is in the ones place of a smaller group of digits.
  • Q: How can I understand the value of each digit in a number? A: To understand the value of each digit in a number, you need to break down the number into smaller groups and understand the place value of each digit.

References

Related Articles

  • [1] Understanding the Place Value of Digits
  • [2] Breaking Down Numbers into Smaller Groups
  • [3] The Importance of Understanding Place Value in Mathematics

Introduction

In our previous article, we explored the value of the digit 3 in the number 138,695,157. We discussed the concept of place value and how it affects the value of each digit in a number. In this article, we will answer some of the most frequently asked questions related to the value of the digit 3 in the number 138,695,157.

Q&A

Q: What is the value of the digit 3 in the number 138,695,157?

A: The digit 3 in the number 138,695,157 has a value of 3, but only in the context of the smaller groups of digits.

Q: Why is the digit 3 not in the tens place of the entire number?

A: The digit 3 is not in the tens place of the entire number because it is in the ones place of a smaller group of digits.

Q: How can I understand the value of each digit in a number?

A: To understand the value of each digit in a number, you need to break down the number into smaller groups and understand the place value of each digit.

Q: What is the difference between the place value of a digit and its actual value?

A: The place value of a digit refers to its value based on its position in the number, while its actual value is the value it represents in the number.

Q: Can you give an example of a number where the digit 3 is in the tens place?

A: Yes, an example of a number where the digit 3 is in the tens place is 123. In this number, the digit 3 is in the tens place and represents 30.

Q: How can I apply the concept of place value to real-life situations?

A: The concept of place value can be applied to real-life situations such as calculating the cost of items, understanding the value of money, and solving mathematical problems.

Q: What are some common mistakes people make when understanding the value of digits in numbers?

A: Some common mistakes people make when understanding the value of digits in numbers include:

  • Confusing the place value of a digit with its actual value
  • Not breaking down numbers into smaller groups
  • Not understanding the concept of place value

Q: How can I improve my understanding of the value of digits in numbers?

A: To improve your understanding of the value of digits in numbers, you can:

  • Practice breaking down numbers into smaller groups
  • Understand the concept of place value
  • Use real-life examples to apply the concept of place value

Conclusion

In conclusion, understanding the value of the digit 3 in the number 138,695,157 requires a deep understanding of the concept of place value. By breaking down numbers into smaller groups and understanding the place value of each digit, you can improve your mathematical skills and apply the concept of place value to real-life situations.

Frequently Asked Questions: Additional Resources

Related Articles

  • [1] Understanding the Place Value of Digits
  • [2] Breaking Down Numbers into Smaller Groups
  • [3] The Importance of Understanding Place Value in Mathematics